29728768 has 56 divisors (see below), whose sum is σ = 62910720. Its totient is φ = 14008320.

The previous prime is 29728763. The next prime is 29728793. The reversal of 29728768 is 86782792.

It is not an unprimeable number, because it can be changed into a prime (29728763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155553 + ... + 155743.

Almost surely, 2^29728768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455360).

29728768 is an abundant number, since it is smaller than the sum of its proper divisors (33181952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29728768 is an equidigital number, since it uses as much as digits as its factorization.

29728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 29728768 is about 5452.4093756797. The cubic root of 29728768 is about 309.7839910385.

The spelling of 29728768 in words is "twenty-nine million, seven hundred twenty-eight thousand, seven hundred sixty-eight".